Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v2.i3.60
16 pages

A Non Split Projection Strategy for Low Mach Number Flows

P.P. Pebay
Sandia National Laboratories P.O. Box 969, M.S. 9051, Livermore, CA 94451
Habib N. Najm
Sandia National Laboratories, Livermore, CA, 94551
J. G. Pousin
National Institute for Applied Sciences, MAPLY U.M.R. CNRS 5585, Leonard de Vinci, 69621 Villeurbanne cedex, France

ABSTRACT

In the context of the direct numerical simulation of low Mach number reacting flows, the aim of this article is to propose a new approach based on the integration of the original differential-algebraic equation (DAE) system of governing equations, without further differentiation. In order to do so while preserving a possibility of easy parallelization, it is proposed to use a one-step index 2 DAE time integrator, the Half Explicit Method (HEM). In this context, we recall why the low Mach number approximation belongs to the class of index 2 DAEs and discuss why the pressure can be associated with the constraint. We then focus on a fourth-order HEM scheme and provide a formulation that makes its implementation more convenient. Practical details about the consistency of initial conditions are discussed prior to focusing on the implicit solve involved in the method. The method is then evaluated using the Modified Kaps Problem, since it has some of the features of the low Mach number approximation. Numerical results are presented, confirming the validity of the strategy. A brief summary of ongoing efforts is finally provided.


Articles with similar content:

APPLICATION OF INTEGRAL DIFFUSION METHOD TO A TURBULENT FLOW
International Heat Transfer Conference 3 , Vol.11, 1966, issue
A.T. Onufriev

A FINITE ELEMENT TAYLOR-GALERKIN SCHEME FOR THREE-DIMENSIONAL NUMERICAL SIMULATION OF HIGH COMPRESSIBLE FLOWS WITH ANALYTICAL EVALUATION OF ELEMENT MATRICES
Hybrid Methods in Engineering, Vol.2, 2000, issue 4
Horacio P. Burbridge, Armando M. Awruch

Implicit Hybrid Simulation Framework for Steady-State Dilute Gas Flows
International Journal for Multiscale Computational Engineering, Vol.3, 2005, issue 1
Nicolas G. Hadjiconstantinou, Lowell Baker

A SECOND-ORDER NEWTON-RAPHSON METHOD FOR IMPROVED NUMERICAL STABILITY IN THE DETERMINATION OF DROPLET SIZE DISTRIBUTIONS IN SPRAYS
Atomization and Sprays, Vol.16, 2006, issue 1
Xianguo Li, Meishen Li

A FULLY ADAPTIVE INTERPOLATED STOCHASTIC SAMPLING METHOD FOR LINEAR RANDOM PDES
International Journal for Uncertainty Quantification, Vol.7, 2017, issue 3
Johannes Neumann, John Schoenmakers, Martin Eigel, Felix Anker, Christian Bayer